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3 years ago

What is the rate of change of the line through (2, -7) and (3, 12)

Mathematics

1 answer:

Sati [7]3 years ago

7 0

Answer:

Hi! Your answer is m = 19

Step-by-step explanation:

~use the slope formula to find the average rate of change~

You might be interested in

A baker needs more than 120 minutes to let their dough rise.

Sedaia [141]

Answer:

m > 120

Step-by-step explanation:

<h3>How do we represent inequalities?</h3>

Inequalities are expressed using either the '>' or '<' symbols.

• The symbol '>' means "greater than". For example, 6 > 3, which means '6 is greater than 3'.

• The symbol '<' means "smaller than". For example, 5 < 9, which means '5 is smaller than 9.

In this example, if the baker needs more than 120 minutes, and m represents the number of minutes, then:

$\boxed{m > 120}$ .

This inequality means 'm is greater than 120'.

Learn more about inequalities here:

brainly.com/question/27983877

7 0

2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is Amie found the volume of the sphere.

vredina [299]

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

7 0

3 years ago

Read 2 more answers

Solve step by step solution then only i can do it plxx

Anuta_ua [19.1K]

Answer:

<h3>Let's understand the concept:-</h3>

Here angle B is 90°

So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle

So we use Pythagoras thereon for solution

<h3>Required Answer:-</h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

3 0

3 years ago

LOTS OF POINTS!!!

Rudiy27

The numbers have no pattern, so there is no easy way to predict the number of candies

5 0

3 years ago

For an experiment, the temperature of a liquid must stay above 60°F . The starting temperature of the liquid is 90°F . It is pla

HACTEHA [7]

The answer is The liquid must be in the cooler fewer than 10 minutes.

Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
The function is:
f(m) = a - 3 * m (Since the temperature decreases by 3°F each minute m, it has a negative sign)
Let:
m - the number of minutes the liquid is in the cooler.
a - the starting temperature
a = 90°F

The temperature of a liquid must stay above 60°F:
f(m) > 60

Thus:
f(m) = a - 3 * m
f(m) > 60

a - 3 * m > 60
90 - 3m > 60
90 - 60 > 3m
30 > 3 m
30/3 > m
10 > m
Or m < 10. So the correct answer is The liquid must be in the cooler fewer than 10 minutes.

3 0

3 years ago